CaltechAUTHORS
Published April 2012 | Version public
Journal Article Metadata-only

Localization for Random Operators with Non-monotone Potentials with Exponentially Decaying Correlations

Creators

  • 1. ROR icon California Institute of Technology

Abstract

I consider random Schrödinger operators with exponentially decaying single site potential, which is allowed to change sign. For this model, I prove Anderson localization both in the sense of exponentially decaying eigenfunctions and dynamical localization. Furthermore, the results imply a Wegner-type estimate strong enough to use in classical forms of multi-scale analysis.

Additional Information

© 2012 Springer Basel AG. Received: May 11, 2011. Accepted: June 11, 2011. Published online July 29, 2011. Communicated by Jean Bellissard. H. K. was supported by NSF grant DMS–0800100, a Nettie S. Auttrey followship, an Erwin Schrödinger junior research fellowship, and a fellowship of the Simons Foundation. I thank Martin Tautenhahn and Ivan Veselić for useful discussions. Parts of the result are slight generalizations from work from my PhD thesis [43]. I thank my advisor David Damanik for his support during the process of writing it.

Additional details

Identifiers

Eprint ID
31542
Resolver ID
CaltechAUTHORS:20120518-141622592

Funding

NSF
DMS-0800100
Nettie S. Auttrey followship
Erwin Schrödinger Junior Research Fellowship
Simons Foundation

Dates

Created
2012-05-21
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field